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Finding the Fourth Proportional to 7,944.96, 10,963.52 and 4,408.10

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Solution

The fourth proportional to 7,944.96, 10,963.52 and 4,408.10 is: 6,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.96 : 10,963.52 = 4,408.10 : x
  2. Step 2: Convert to fraction form
    7,944.96/10,963.52 = 4,408.10/x
  3. Step 3: Cross multiply
    7,944.96x = 10,963.52 × 4,408.10
  4. Step 4: Simplify right side
    7,944.96x = 48,328,292.51
  5. Step 5: Solve for x
    x = 48,328,292.51/7,944.96
  6. Step 6: Final answer
    x = 6,082.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.